Yes, this equation is balanced.
You can check it using the law of conservation of mass, i.e., the total mass of the products formed must be equal to the total mass of the reactants.
Answer:
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Explanation:
Answer:
a)
= 4.67m/s
b) V = 8.29 m/s
Explanation:
Givens:
The bullet is 5.30g moving at 963m/s and its speed reduced to 426m/s. The wooden block is 610g.
a) From conservation of linear momentum
Pi = Pf

where
are the mass and the initial velocity of the bullet,
and
are the mass and the initial velocity of the wooden block, and
and
are the final velocities of the wooden block and the bullet
The wooden block is initial at rest
this yields

By solving for
adn substitute the givens
= 
= 
= 4.67m/s
b) The center of mass speed is defined as

substituting:

V = 8.29 m/s
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Kinetic energy , KE= [1/2]m*v^2
m = 10 kg
v=20m/s
KE = [1/][(10kg)(20m/s)^2 = [1/2](10kg)(400m^2/s^2) = 2000 joule
Answer: 2000 joule